Stabilization of low-order cross-grid PkQl mixed finite elements

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stable and unstable cross-grid PkQl mixed finite elements for the Stokes problem

In this paper we develop and analyze a family of mixed finite element methods for the numerical solution of the Stokes problem in two space dimensions. In these schemes, the pressure is interpolated on a mesh of quadrilateral elements, while the velocity is approximated on a triangular mesh obtained by dividing each quadrilateral into four triangles by its diagonals. Continuous interpolations o...

متن کامل

Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

We present a new family of stabilized methods for the Stokes problem. The focus of the paper is on the lowest order velocity-pressure pairs. While not LBB compliant, their simplicity and attractive computational properties make these pairs a popular choice in engineering practice. Our stabilization approach is motivated by terms that characterize the LBB “deficiency” of the unstable spaces. The...

متن کامل

A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem

In this paper we obtain a priori and a posteriori error estimates for stabilized loworder mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates for the eigenfunctions and the eigenvalues. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, u...

متن کامل

On the Convergence of Some Low Order Mixed Finite Elements for Incompressible Fluids

In this thesis we study the approximation properties of three low order mixed nite elements which preserve the incompressibility condition for incompressible uids More precisely we study the mixed nite elements Pn Pn for n for which the velocity space consists of continuous piecewise polynomials of degree at most n and the pressure space consists of discontinuous piecewise polynomials of degree...

متن کامل

Variable-order finite elements for nonlinear, intrinsic, mixed beam equations

The paper presents variable-order finite elements for nonlinear, mixed, fully intrinsic equations for both non-rotating and rotating blades. The finite element technique allows for hp-adaptivity. Results show that these finite elements lead to very accurate solutions for the static equilibrium state as well as for modes and frequencies for infinitesimal motions about that state. The results bas...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2018

ISSN: 0377-0427

DOI: 10.1016/j.cam.2017.09.002